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136143072 = 253313172331
BaseRepresentation
bin10000001110101…
…10000011100000
3100111011210012000
420013112003200
5234323034242
621302004000
73242124402
oct1007260340
9314153160
10136143072
116a93833a
1239716600
1322289940
141411cb72
15be43a4c
hex81d60e0

136143072 has 384 divisors, whose sum is σ = 487710720. Its totient is φ = 36495360.

The previous prime is 136143053. The next prime is 136143097. The reversal of 136143072 is 270341631.

136143072 is a `hidden beast` number, since 13 + 614 + 30 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4391697 + ... + 4391727.

It is an arithmetic number, because the mean of its divisors is an integer number (1270080).

Almost surely, 2136143072 is an apocalyptic number.

136143072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136143072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243855360).

136143072 is an abundant number, since it is smaller than the sum of its proper divisors (351567648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

136143072 is a wasteful number, since it uses less digits than its factorization.

136143072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 136143072 is about 11668.0363386476. The cubic root of 136143072 is about 514.4365874809.

The spelling of 136143072 in words is "one hundred thirty-six million, one hundred forty-three thousand, seventy-two".